{X r} J {x· .. -{x,··xx IN' ReferenciasModern Thermodynamics: From Heat Engines to Dissipative...
Transcript of {X r} J {x· .. -{x,··xx IN' ReferenciasModern Thermodynamics: From Heat Engines to Dissipative...
160 La irreversibilidad
Con
o con
{ X ... x t + r} = e<t>(x, x\. JL {x· .. x t}e -<t>{x,··xx J) I N' ext " IN'
Referencias
Termodinamica Clasica
1. Fermi Enrico: Thermodynami
2. Holman J. P: Termodin6mica
3. Bejan, A.; "Entropy Genera
1994.
4. Callen H.; "Thermodynami
Son, 1985.
5. Criado-Sanchez M. y (
Irreversibles, Addison We
6. Chejne F.: Termodin6mic
7. Morin M. J and Shaph i
Wiley an Son, Inc, New'
Termodinamica Estadistica y f
8. Birzu I.; "Nouvelle v
d'entropie", ENTROPI
9. Boltzmann L., Lectuf
Press, Berkeley, 196
10. Boris V. Alexeev:
(2004).
11 . Callen, H. and Wall
12. Frank T.D., Daerts
generalized therrr
La irreversibilidad
Referencias
Termodinamica
1. Fermi Enrico: Thermodynamics; Dover Publication Inc., USA, 1956.
2. Holman J. P: Termodinom/ca; 2nd Edici6n, Ed. McGraw Hill, 1974.
3. Bejan, A.; "Entropy Generation Through Heat and Fluid Flow", John Wiley & Son ltda,
1994.
4. Callen H.; "Thermodynamics and Introduction to Thermostatic" 2th John Willey and
Son, 1985.
5. Cdado-Sanchez M. y J., Termodinomico Qufmica de Procesos
Irreversibles, Addison Wesley, Iberoamerica, Espana,1988
6. Chejne F.: Termodinomico Editorial UPB, Medelin, 2000.
7. Morin M. J and Shaphiro H. N., Fundamentals of engineering Thermodynamics, John
Wiley an Son, Inc, New York, 1996;
Termodinamica Estadistica y Ecuaci6n de 80lztmann
8. Birzu I.; "Nouvelle variant pour Ie de la Production Minimale
d'entropie", ENTROPIE, 197, 1996.
9. Bo!tzmann l., Lecture on Gas Theory, translated by S. G. Brush, Universitu of California
Berkeley, 1964.
10. Boris V. A!exeev: Generalized Boltzmann Physicol Kinetics; B.V, Netrer!and,
(2004).
11. Cailen, H. and Walton, . Phys. Rev. 83, 1951.
12. Frank T.D., Daertshofer . H-theorem for nonlinear Fokker-Planck equations related to
generalized thermostatistics; Physica A 295 (2001) 455-474.
162 La irreversibilidad
13. Gibb, M.; "Elementary principles in Statically Mechanics", Dover, New York, 1960.
14. Gibbs J. W., The Scientific paper of J. Willard Gibbs, Dover, New York, 1961.
15. Hill Terrell L., An Introduction to Stastistical Thermodynamics, Dover Publication, Inc, New
York, 1960, 1986
16. Huidan Yu : Lattice Boltzmann Equation Simulations Of Turbulence, Mixing, And
Combustion; Ph .D Thesis, Texas A&M University, USA (2004).
17. Khinchin A. I., Mathematical Foundation ofStatistical Mechanics, Dover, New York, 1960.
18. Landau y Lifshitz; "Fisica Estadistica", Reverte, Barcelona, 1969
19. Ljiljana, Kolar-Anic, Osnove Statisticke Thermodinamike, Fakultet za Fizicku Hemiju, DP
Studentski, Cip Stampa, Beograd, 1995
20. Michel Le Bellac, Fabrice Mortessagne and G. George Batrouni: Equilibrium and Non-
equilibrium Statistical; Cambridge University Press, UK, 2004.
21. Reichl L. E. : A Modern Course in Statistical Physics; John Wiley & Sons, Inc., Canada, 1998.
22. Schrodinger Edwin : Statistica Thermodynamics; Dover Publication Inc. N. Y. (1989-1952)
23 . Tholman R. ; " The Principles of Statistical Mechanics" Dover, New York, 1979.
Termodinamica Non-Equilibrium
24. Aguirre, Ja ime; Notas sobre termodinam ica irreversible, Facultad de Minas, Universidad
Nacional de Colombia.
25 . Chejne, Farid; Notas sobre Introducci6n a la teo ria de Fluctuaciones, Facultad de Minas,
Universidad Nacional de Colombia .
26. de Groot S. R. and Mazur P.; "Non-Equilibrium thermodynamics", Dover Publication, !'Jew
York, 1984.
27 . Glansdorff, P; and Prigogine, I; "Thermodynamic theory of Structure, Stability and
Fluctuations", John Wiley & Sons LTD, 1971.
28. Jou D., Casa-Vasquez J. and Lebon G., Extended irreversible thermodynamics, Pep. Prog.
Phys. 51, 1105-1179, UK, 1988
Re fe re ncia s
29. Kondepudi
Dissipative
30. Lavenda, F
York, 197
31. Malek, r
System
32 . Nicoli~
Struc
33 . Nico
34. On'
35 . Or
36. C
37 . '
38.
3
La irreversibilidad Referencias 163
60. 29. Kondepudi D. and Prigogine, I. Modern Thermodynamics : From Heat Engines to
Dissipative Structures, John Wiley & Sons, England, 1998 1, Inc, New
30. Lavenda, B. H.; "Thermodynamics of Irreversible Processes" Dover Publications, INC., New
York,1978 :ing, And
31. Malek, M . Mansour ; "Fluctuations E. T. Transitions de phase de Non-equilibre dans les
Systemes Chimique", ULB, Ph.D. Thesis, 1979. k,1960.
32. Nicolis G. and Prigogine I., Self-Organization in Nonequilirium system: from Dissipative
Structures to Order through Fluctuation, Wiley, New York, 1977.
niju, DP 33. Nicolis G., "Introduction to Nonlinear Science" Cambridge University press, 1995.
34. Onsager L. , Phys. Rev. 37, 1931
':1 Non35 . Onsager L., Phys. Rev. 38, 1931
36. Ott, E. ; "Chaos I Dynamical Systems" , Cambridge University Press, 1993.
1998. 37 . Prigogine I., "Time, Structure and Fluctuations" . Science, Vol. 201,4358, 1978.
52) 38. Prigogine I. and Nicolis G., "Exploring Complexity an Introduction", W.H Freeman and
company, New York, 1989
39 . Prigogine I. "Introduction to thermodynamics of Irreversible processes". Third edition,
science publishers, USA, 1967.
40. Truesdell, C. Rational Thermodynamic. McGraw-Hili, New York, 1969 iad
41. Velasquez J. E., Chejne F. y Hill A, Mathematical Model and Simulation of a Thermal
Diffusion Column. American Journal Of Heat Transfer . ASME Journal, v.125, n.2, p.266 IS,
272, 2003
N
Movimiento Browniano, Teorema de Fluctuaci6n-Disipaci6n, Teorema de Fluctuaciones y
procesos estocasticos:
42 . Atland A., De Martino A., Egger R. and Narozhny, Trasiente fluctuation relations for time
dependent particle transport, Phys. Rev . Lett., 82, 115323, (2010).
164 La irreversibilidad
43. Blickle V., Speck T., Heiden L., Seifert U., and Bechinger c., Phys. Rev. Lett. 96, 070603
(2006)Boffetta G., Cencini M., Falcioni M. and Vulpiani A., Predictability: a way to
characterize complexity, Physics Reports 356, 367-474, (2002)
44. Bustamante c., Liphardt J. and Ritort F., Phys Today, 58, No . 7, 43 (2005).
45. Callen H. B. and Welton T. A., 1951, "Irrevarsibility and Genralized Noise"Physical Review
83, 1, 1951
46. Chandler D., Introduction to Modern Statistical Mechanics (Oxford University Press, New
York, 1987)
47. Ciliberto S., Joubaud S., Petrosyan A., Fluctuations in out of equilibrium systems: from
theory to experiment, November 1, (2010).
48. Ciliberto, S.; Joubaud, S.; Petrosyan, A. : Fluctuations in out of equilibrium systems: from
theory to experiment, Condo Mat. Stat. Mech., November 1,2010 van
49. Ciliberto S. and Laroche c., J. Physique IV 8215 (1998).
50. Ciliberto S., Garnier N., Hernandez S., Lacpatia C. Pinton J. -F., Ruiz Chavarria G., Physica A
340, 240 (2004)
51. Collin D., Ritort F., Jarzynski c., Smith S. B., Tinoco I. Jr. and Bustamante c., Nature 437,
231-234 (2005)
52. Chandler D., Introduction to Modern Statistical Mechanics (Oxford University Press, New
York, 1987
53. Crooks G.E., Man the Jarziynski relation for dissipative quantum dynamics, J. Stat . Mech,
P10023 (2008).
54. Crooks G.E., Measuring Thermodynamic Length Phys. Rev. Letters, 99, 100602 (2007).
55. Crooks G.E., J. Stat. Phys 90, 1481 (1998)
56. Crooks G.E.; Phys. Rev. E60,2721 (1999)
57. Crooks G.E., Path-ensemble averages in systems driven far from equilibrium, Phys. Rev. E,
61,3, 2361 (2000).
58. de Groot S.R. and Mazur P., Non-Equlibrium Thermodynamics, Dover Publication, Inc,
New York (1984).
Re
La irreversibilidad Referencias
C, Phys. Rev. Lett. 96, 070603
i A., Predictability: a way to
:)
. 43 (2005) .
'ized Noise" Physical Review
rd University Press, New
'ibrium systems: from
rium systems: from
ria G., Physica A
. Nature 437,
Press, New
t. Mech,
l
E,
59. Einstein A.: On the movement of small particles suspended in a stationary liquid
demanded by the molecular kinetic theory of heat; Annalen der Physik 17 [1905] : 549
560 .
60. Esposito M . and van den Broeck c., Three faces of the second law. I. Master equation
formulation, Phys. Rev. E, 82, 011143, (2010) .
61. Esposito M. and van den Broeck c., Three Detailed Fluctuation Theorems, Phys. Rev. Lett .,
104, 090601, (2010) .
62. Esposito M., Harbola U. and Mukamel S", Entropy fluctuation theorems in driven open
systems: Application to electro counting statistics, Phys. Rev . E, 76, 031132, (2007) .
63 . Evans D. J., Cohen E.G.D., and Morriss G.P., Probability of Second Law Violations In
Shearing Steady State, Phys. Rev. Lett. 71, 2401 (1993) .
64. Evans D. J., Cohen E.G.D., and van Beijeren H.,Linear Response of Phase-Space
Trajectories to shearing, Phys. Rev. Lett. 62, 14, 1579 (1989).
65 . Evans D. J. and Searles D. J., Advances in Physics, 51, 1529-1585(2002).
66. Evans D. J. and Searles D. J., Phys. Rev. E, 50, 1645, (1994) .
67. Evans D. J. and Searles D. J. , Steadt stae, invariant measures, and response theory, Phys.
Rev. E, 52, 6, 5839, (1995) .
68. Evans D. J. and Searles D. J. and Rondoni L., Phys. Rev. E 71 (5) 056120 (2005).
69. Farago J., J. Stat. Phys. 107781 (2002); Physica A 33169 (2004) ;
70. Feitosa K., Menon N., Phys. Rev. Lett . 92 164301 (2004)
71. Feng E. H. and Crooks G. E., Far-fram-equilibrium measurements of thermodynamic
length , Phys. Rev. E 79 (5) 012104 (2009) .
72. Gallavotti G. and Cohen E. G.D., Phys. Rev. Lett . 74, 2694, (1995).
73 . Gardiner C. W.: Handbook of Stochastic Methods; Springer, Germany, 3rd Edition, (2004) .
74 . Garnier N., Ciliberto 5., Phys. Rev. E 71 060101(R) (2005)
75. Hatano T. and 5asa 5-1., Steady-state Thermodynamics of Langevin Systems, Phys. Rev.
Lett. 86, 3463 (2001).
165
166 La irreversibilidad Referencias
76. Hao Ge and Hong Qian, Physical origins of entropy production, free energy dissipation
and their mathematical representation, Physicia Review E 81, 051133, 2010.
77. Jarzynski c., Nonequilibrium Work Relations: Foundations and applications,. Eur. Phys J. B.
64, 331-340 (2008);
78. Jarzynski c., Nonequilibrium Equality for Free Energy Differences Phys. Rev. Lett. 78, 14,
2690 (1997);
79. Jarzynski c., Equilibrium Free Energy Differences from nonequilibrium measurements: A
master equation approach, Phys. Rev. E56, 5, 5018 (1997);
80. Kubo R. : liThe Fluctuation-Dissipation theorem", Rep. Prog. Phys. 29 255, 1966.
81. Kurchan J., J. Phys. A 31, 3719, (1998).
82. Landau L. and Lifshitz E., Statistical physics, Oxford, (1938); Ffsica Estadfstica, Ed. Reverte,
SA, Barcelona, Espana, (1969).
83. Lebowitz J. L. and Spohn H., J. Stat. Phys. 95, 333 (1999);
, 84. Maes c., J. Stat. Phys. 95, 367 (1999).
85 . Maes C. nad van Wieren M . H., Time-symmetric Fluctuations in noequilibrium Systems,
Phys. Rev. Lett. 96, 240601 (2006) .
86. Onsager L. reprinted in, The collected works of Lars Onsager, World Scientific, Singapore
(1996).
87. Ottinger, H. C; Stochastic Process in Polymeric Fluid Springer, Germany, 1996
88. Prost J., Joanny J-F. and Parrondo J. M. R., Generalized Fluctuation-Dissipation Theorem
for Steady-State Systems, Phys. Rev. Lett. 103,090601 (2009).
89. Puglisi A., Rondoni L., Vulpiani A., J. Stat. Mech .: Theory and Experiment, P08010, 2006)
90. Punyabrata Pradhan, Nonequilibrium fluctuation theorems in the presence of a time
reversal symmetry-breaking fieI and nonconservative forces, Physical Review E 81,
021122, 2010).
91. Risken, H.: The Fokker-Planck Equation : Methods of Solution and Applications;Second
edition Springer, Germany, 1989, 1996.
167ReferenciasLa irreversibilidad
uction, free energy dissipation
1,051133,2010.
d applications,. Eur. Phys 1 B.
ces Phys. Rev. Lett. 78, 14,
librium measurements: A
'9 255, 1966.
tadistica, Ed. Reverte,
'Jilibrium Systems,
ntific, Singapore
5
tion Theorem
10,2006)
of a time
~w E 81,
;Second
92. Ritort F., Nonequilibrium fluctuations in small system : from physics to biology, Reporto
Departamento de Ffsica Funamental, Faculty of Physics, Universitat de Barcelona, Spain,
May 2006
93. Ruelle D., J. Stat. Phys. 95, 393 (1999) .
94. Schnakenberg 1, Network theory of microscopic and macroscopic behavior of master
equation systems, Reviews of Modern PhYSics, 48, 4, (1976)
95 . Schuler S., Speck T., Tietz C, Wrachtrup 1, and Seifert U., Phys. Rev. Lett., 94, 180602
(2005)]
96. Searles D. J., Rondoni L., Evans D. J., J. Stat. Phys. 128, 1337 (2007
97. Seifert U., Phys. Rev. Lett., 95, 040602 (2005)
98. Serra R., Andretta M., Company M., and Zanarini G., "Introduction To The Physics of
Complex Systems" pergamon press, Headington Hill Hall, Oxford, England, 1986.
99 . Wang G. M., Reid J. C, Carberry D. M., Williams D. R. M., Sevick E. M ., Evans D. 1, Phys.
Rev. E 71 046142 (2005)
100. Wang G. M, Sevick E. M ., Mittag E., Searles D. J., Evans D. 1, Phys. Rev. Lett. 89
050601 (2002);
101. Tome Tania and de Oliveira Mario 1, Entropy production in irreversible Systems
described by a Fokker-Planck equation, Pysical Review E 82, 021120, 2010.
102 . Uli Deker and Fritz Haake : Fluctuaci6n-DisipationTheorems for classical processes,
Pyhsical Review A, (11), 6, 2043-2056, June 1975
103 . Van Zon R., Cohen E. G. D., Phys. Rev. E 67046102 (2003);
104. Van Zon R., Ciliberto S. and Cohen E. G. D.: Power and Heat Fluctuation Theorems
for Electric Circuits, 2004
105. Van Zon R., Ciliberto S., Cohen E. G. D., Phys. Rev. Lett. 92 (13) 130601 (2004);
106. Van Zon R. and Cohen E. G. D., Phys. Rev. Lett. 91 (11) 110601 (2003);
107 . Van Zon R. and Cohen E. G. D., Phys. Rev. E 67, 046102 (2003) .
108. Van Zon R. and Cohen E. G. D., Phys. Rev. E 69, 056121 (2004) .
Referencias168 La irreversibilidad
109. Verley G., Mallick K. and Lacoste D., Modified fluctuation-dissipation theorem for 121. P
non-equilibrium steady states and applications to molecular motors, EPL, 93, 10002, and com
(2011) 122.
110. Yamada T. and Kawasaki, Nonlinear effects in the shear viscosity of critical 123.
Mixtures, Progress of theoretical Physics, 38,5, 1967. fen6me
124.
Mecanica Cuantica 1994.
125.
111. Fynman: FislCA Volumen /II, Mec6nica Cu6ntica; Fondo Educativo Interamericano, Madric
USA,1971; 126.
112. Heisenberg Werner: The physical Principles of the Quantum Theory; Dover 127.
Publication Inc. N. Y. (1949) Cultur
113. Perez H. c., Editorial UPB, Medellin,1998 128.
114. Sepulveda A., Fondo Editorial Cooperativo UdeA, Medellin, 1995; 129.
1996
Estabilidad 130.
Espa
115. Rivera A. and Chejne F. "Stability Analysis of Thermoacoustics Engines", Journal of
Non - Equilibrium Thermodynimic (26) 1,2001.
116. Satttinger D., "Topics in stability and bifurcation theory", Springier, Berlin, 1972.
117. Solari, H. G.; Natieilo, M. A. and Mindlin, G. B.; Nonlinear Dynamics, lOP
Publishing, UK, 1996.
Generalista
118. Berry R.; "Energy Understanding", Oxford, England, 1991
119. Capra, F.; "La Trama de la Vida"; Ed Anagrama . S.A., Barcelona, 1998.
120. Chejne, F.; "EI Tiempo Entr6pico", capitulo del libro "EI Problema Del Tiempo",
editado por la Universidad Nacional - sede Medellin, 2000.
La irreversibilidad Referencias 169
, theorem for
93, 10002,
of critical
'icano,
over
121. Prigogine I. and Nicolis G., "Exploring Complexity an Introduction", W.H Freeman
and company, New York, 1989
122. Prigogine I., "The end of Certainty Time's flow and the laws of nature" , 1996.
123. Prigogine I., "EI tiempo y el devenir", propiedades macroscopicas de los
fenomenos reversibles : Paul Gransdorff, Gedisa, 1988.
124. Prigogine I. and Stengers: "Metamorfosis de la Ciencia" . Alianza Editorial, Madrid,
1994.
125. Prigogine I., and Stengers: "Entre el tiempo y la eternidad". Alianza Editorial,
Madrid, 1994.
126. Prigogine I., EI fin de las Certidumbres, Ed . Andres bello, Santiago de Chile, 1998.
127. Sametband Moises Jose, Entre el Orden y el Caos: La Complejidad, 2 ed . Fondo de
Cultura Economica, Mexico, 1999.
128. Silvestrini Vittorio, Que es la Entropia, ED. Norma, Santafe de Bogota, 1998
129. Von Foerster H., Las Semillas de la Cibernetica Ed . Gedisa, Barcelona, Espana,
1996.
130. Wagensberg J., Ideas sobre 10 Complejidad del Mundo 3 ed . Tusquets Editores,
Espana, 1994